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Finding the Third Proportional to 492,944 and 1,009,198

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Solution

The third proportional to 492,944 and 1,009,198 is: 2,066,118.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,944 : 1,009,198 = 1,009,198 : x
  2. Step 2: Convert to fraction form
    492,944/1,009,198 = 1,009,198/x
  3. Step 3: Cross multiply
    492,944x = 1,009,198 × 1,009,198
  4. Step 4: Simplify right side
    492,944x = 1,018,480,603,204
  5. Step 5: Solve for x
    x = 1,018,480,603,204/492,944
  6. Step 6: Final answer
    x = 2,066,118.27

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.